Given parametric equations, graph the function and obtain an explicit equation. Part of HELM Book 2.2.2.

Graph x^2 - y^2 = 1 from a parametric definition. Part of HELM Book 2.2.2.

Draw a graph of y=x^3 by plotting points. Part of HELM book 2.2.1

Graph a linear or quadratic function and state its domain and range. Part of HELM Book 2.2.1.

Graph the function y=x^2+2 on [-3,3] by plotting points. State the domain and range. This is part of HELM Book 2.2.1.

Reading gradient and intercept from y=mx+c.

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Calculating area under curves of the form $ax^2+bx$ and $ax^4+bx^3+cx^2+dx+e$ in a contextualised problem.

Estimating the proportion of sodium carbonate in a solutionat a specific timepoint and vice versa, depicted as a quadratic graph.

Interpreting line graphs depicting the decrease of temperature in a mixture over time. Estimating the temperature of the mixture at a given time point and vice versa.

Match the graphs to the functions. No randomisation. Multiple choice.

Match the relevant graph (sin, cos, tan) with its equation. 

Multiple choice - select the quadratic graph.

Calculating gradient and finding intercept from a geogebra graph.

The student is given a connected graph and must find a minimum spanning tree.

Shows how to use JSXGraph to make a sine graph with amplitude, frequency and phase controlled by sliders.

This question shows how to generate a random set of $(x,y)$ samples, where $y = mx + c + \mathrm{noise}$.

The JSXGraph extension is used to show a scatter plot of the data. This isn't necessary if you just want to generate the data.

The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.

There is also a plot of the points, which updates when the table is filled in, or the student can move the points to fill in the table.

The table uses the spreadsheet and JSXgraph extensions.

Shows how to switch to the 3D graphics view of a geogebra applet using an extension function.

Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

Drag points on an axis to plot a linear graph (integer gradient and intercept only)

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Some questions which use JSXGraph to create interactive graphics.

This question shows a JSXGraph diagram above a mathematical expression input, containing a plot of the expression the student enters.

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Homwork Set.  Covers graphical, and trigonometric methods of vector addition.

This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

Find multiple solutions of sin

Working 26_10_16

Find multiple solutions of cos

Working 26_10_16